00:01
Hey there, welcome to numerate.
00:03
So we are looking at a normal distribution here, given the probabilities that we have to find.
00:08
So with each c scores, we give them in the inequality, and we're going to use this setup to find the probability.
00:15
So we're going to resume with part c.
00:18
So the part c is the probability where the z score is less than negative 1 .22.
00:29
So what this basically equals, using your table or a calculator here, for z score that is less than negative 1 .22, we get a probability of 0 .1112.
00:50
Now for part d here, we are dealing with the probability in between.
00:56
So we have the probability where the z scores between, positive 1 .13 and 3 .35.
01:12
So in order to solve this probability, we had to split this probability in half.
01:17
Where we have the probability where the z score is less than 3 .35 equals and basically the probability where z score is less than 1 .13.
01:37
So let us do the 3 .35 first and see what we get.
01:44
So with the z score of 3 .35, we get a probability of around 0 .99.
01:54
0 .996, 4 .996, 4 z score of 3 .35.
02:06
Now for our next probability here, we have z score is less than 1 .13.
02:14
So with the z score of 1 .13, this gives us a probability of 0 .877 .76.
02:24
So now to find the probability in between, we're going to subtract our larger probability to our smaller one.
02:30
So we have 0 .996 minus 0 .87076.
02:40
This gives an in -between probability of around, of around 0 .1288.
02:56
All right, perfect.
02:59
So that was c and d.
03:03
Now let's do e...